Two logarithmically completely monotonic functions connected with gamma function
نویسندگان
چکیده
منابع مشابه
Two Logarithmically Completely Monotonic Functions Connected with Gamma Function
In this paper, the logarithmically complete monotonicity results of the functions [Γ(1 + x)]y/Γ(1 + xy) and Γ(1 + y)[Γ(1 + x)]y/Γ(1 + xy) are established.
متن کاملSome Logarithmically Completely Monotonic Functions Related to the Gamma Function
converges for x ∈ [0,∞). This tells us that f ∈ C[[0,∞)] if and only if it is a Laplace transform of the measure α. There have been a lot of literature about the completely monotonic functions, for examples, [3, 4, 5, 22, 25, 32, 34, 35, 39, 40, 42, 58, 60, 61, 62, 63, 66] and references therein. Recall also [6, 43, 47] that a positive function f is said to be logarithmically completely monoton...
متن کاملA Class of Logarithmically Completely Monotonic Functions Associated with the Gamma Function
In this article, a necessary condition, several sufficient conditions and a sufficient and necessary condition for a class of functions involving the gamma function to be logarithmically completely monotonic are established, and then some known results are extended.
متن کاملA class of logarithmically completely monotonic functions
The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject. c © 2008 Elsevier Ltd. All rights reserved.
متن کاملA Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
For extension of these functions to complex variables and for basic properties, see 1 . These functions play central roles in the theory of special functions and have lots of extensive applications in many branches, for example, statistics, physics, engineering, and other mathematical sciences. Over the past half century monotonicity properties of these functions have attracted the attention of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2006
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652460500422379